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Product Code:  CONM/339 
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Electronic ISBN:  9780821879290 
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Book DetailsContemporary MathematicsVolume: 339; 2003; 216 ppMSC: Primary 35; 78; 81; 82;
Science and engineering have been great sources of problems and inspiration for generations of mathematicians. This is probably true now more than ever as numerous challenges in science and technology are met by mathematicians. One of these challenges is understanding propagation of waves of different nature in systems of complex structure.
This book contains the proceedings of the research conference, “Waves in Periodic and Random Media”. Papers are devoted to a number of related themes, including spectral theory of periodic differential operators, Anderson localization and spectral theory of random operators, photonic crystals, waveguide theory, mesoscopic systems, and designer random surfaces. Contributions are written by prominent experts and are of interest to researchers and graduate students in mathematical physics.ReadershipGraduate students and research mathematicians interested in mathematical physics and partial differential equations.

Table of Contents

Articles

J. M. Combes, B. Gralak and A. Tip  Spectral properties of absorptive photonic crystals [ MR 2042527 ]

JeanMichel Combes, Peter D. Hislop and Frédéric Klopp  Regularity properties for the density of states of random Schrödinger operators [ MR 2042528 ]

Pavel Exner  Spectral properties of Schrödinger operators with a strongly attractive $\delta $ interaction supported by a surface [ MR 2042529 ]

Leonid Friedlander  Absolute continuity of the spectra of periodic waveguides [ MR 2042530 ]

François Germinet and Abel Klein  The Anderson metalinsulator transport transition [ MR 2042531 ]

S. E. Golowich and M. I. Weinstein  Theory and computation of scattering resonances of photonic microstructures [ MR 2042532 ]

Yu. Karpeshina  Asymptotic formulas for eigenvalues and eigenfunctions of periodic magnetic Schrödinger operators [ MR 2042533 ]

Peter Kuchment and BengSeong Ong  On guided waves in photonic crystal waveguides [ MR 2042534 ]

Tamara A. Leskova, Alexei A. Maradudin, Eugenio R. Méndez and Javier MuñozLopez  The design and photofabrication of random achromatic optical diffusers for uniform illumination [ MR 2042535 ]

Boris Pavlov and Kieran Robert  Resonance optical switch: calculation of resonance eigenvalues [ MR 2042536 ]

Alexander V. Sobolev  High energy asymptotics of the density of states for certain periodic pseudodifferential operators in dimension one [ MR 2042537 ]

T. A. Suslina  On discrete spectrum in the gaps of a twodimensional periodic elliptic operator perturbed by a decaying potential [ MR 2042538 ]

V. V. Yurinsky  On the principal eigenvalue of the Schrödinger operator with a scaled random potential [ MR 2042539 ]


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Science and engineering have been great sources of problems and inspiration for generations of mathematicians. This is probably true now more than ever as numerous challenges in science and technology are met by mathematicians. One of these challenges is understanding propagation of waves of different nature in systems of complex structure.
This book contains the proceedings of the research conference, “Waves in Periodic and Random Media”. Papers are devoted to a number of related themes, including spectral theory of periodic differential operators, Anderson localization and spectral theory of random operators, photonic crystals, waveguide theory, mesoscopic systems, and designer random surfaces. Contributions are written by prominent experts and are of interest to researchers and graduate students in mathematical physics.
Graduate students and research mathematicians interested in mathematical physics and partial differential equations.

Articles

J. M. Combes, B. Gralak and A. Tip  Spectral properties of absorptive photonic crystals [ MR 2042527 ]

JeanMichel Combes, Peter D. Hislop and Frédéric Klopp  Regularity properties for the density of states of random Schrödinger operators [ MR 2042528 ]

Pavel Exner  Spectral properties of Schrödinger operators with a strongly attractive $\delta $ interaction supported by a surface [ MR 2042529 ]

Leonid Friedlander  Absolute continuity of the spectra of periodic waveguides [ MR 2042530 ]

François Germinet and Abel Klein  The Anderson metalinsulator transport transition [ MR 2042531 ]

S. E. Golowich and M. I. Weinstein  Theory and computation of scattering resonances of photonic microstructures [ MR 2042532 ]

Yu. Karpeshina  Asymptotic formulas for eigenvalues and eigenfunctions of periodic magnetic Schrödinger operators [ MR 2042533 ]

Peter Kuchment and BengSeong Ong  On guided waves in photonic crystal waveguides [ MR 2042534 ]

Tamara A. Leskova, Alexei A. Maradudin, Eugenio R. Méndez and Javier MuñozLopez  The design and photofabrication of random achromatic optical diffusers for uniform illumination [ MR 2042535 ]

Boris Pavlov and Kieran Robert  Resonance optical switch: calculation of resonance eigenvalues [ MR 2042536 ]

Alexander V. Sobolev  High energy asymptotics of the density of states for certain periodic pseudodifferential operators in dimension one [ MR 2042537 ]

T. A. Suslina  On discrete spectrum in the gaps of a twodimensional periodic elliptic operator perturbed by a decaying potential [ MR 2042538 ]

V. V. Yurinsky  On the principal eigenvalue of the Schrödinger operator with a scaled random potential [ MR 2042539 ]